Preheat your oven to 350°F (175°C) and line a baking sheet with parchment paper.

In a large mixing bowl, cream softened butter, granulated sugar, and brown sugar until light and fluffy.

Beat in the eggs one at a time and stir in vanilla extract until smooth.

Whisk together flour, baking soda, baking powder, salt, and cocoa powder in a separate bowl.

Gradually add dry ingredients to wet mixture, adding red food coloring and vinegar, mixing until just combined.

Drop dough onto prepared sheets, spacing them 2 inches apart.

Bake for approximately 10-12 minutes until edges are set and centers slightly underbaked.

Allow to cool on the baking sheet for 5 minutes before transferring to wire racks.

In a separate bowl, beat cream cheese and butter until smooth, then gradually add powdered sugar and vanilla extract until fluffy.

Frost cooled cookies with the cream cheese frosting and serve.